Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cz |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
9584640 |
Modular degree for the optimal curve |
Δ |
-6.4238451522745E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22091430,-41786180892] |
[a1,a2,a3,a4,a6] |
j |
-1461666798564168001/78749579817216 |
j-invariant |
L |
6.6643300506116 |
L(r)(E,1)/r! |
Ω |
0.034710052283367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078bk1 |
Quadratic twists by: 13 |